Answer:
Area of triangle B is 112 cm²
Option A is correct option.
Step-by-step explanation:
The dimensions of triangle B are twice the dimensions of triangle A.
Area of triangle A = 28 cm²
We need to find area of triangle B
We know that if base = b and height = h for triangle A
The area of triangle A will be: [tex]Area_A=\frac{1}{2}\times b \times h[/tex]
The dimensions for triangle B will be:
[tex]h_B = 2 h_A\\b_B = 2 b_A[/tex]
Putting in formula we get:
[tex]Area_B=\frac{1}{2}\times b\times h \\Area_B=\frac{1}{2}\times (2b)\times 2(h)\\Area_B=4( \frac{1}{2}\times b\times h)\\Area_B=4(Area_A)[/tex]
SO, we get [tex]Area_B=4(Area_A)\\[/tex]
We have Area_A = 28 cm²
Area of triangle B Area _B is:
[tex]Area_B=4(28)\\Area_B=112\:cm^2[/tex]
So, Area of triangle B is 112 cm²
Option A is correct option.
3w + 6 - 4w + 3b + 2 +2b=
The answer is 5b - w + 8
Step-by-step explanation:
Answer:
-w + 5b + 8
Step-by-step explanation:
Step 1: Since you're only dealing with addition and subtraction, the easiest method is to convert all subtraction to addition by adding the opposite. There is only one case of subtraction (-4w) which can be changed to adding negative 4w:
3w + 6 + (-4w) + 3b + 2 + 2b
Step 2: Combine like terms to simplify:
3w + (-4w) = -w
3b + 2b = 5b
6 + 2 = 8
Answer:
-w + 5b + 8
find the slope of the line containing the points (4,-3) and (-1, 7)
Answer:
-2
Step-by-step explanation:
7 + 3 / -1 - 4
10/-5 = -2
slope is -2
August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?
This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!
Answer:
14oz soup/ person
Step-by-step explanation:
the answer would be 14oz of soup/person
multiply 7 (cans of soup) by 16 (oz per can)
7*16=112
divide 112 (oz of soup total) by 8 (number of people feeding)
112/8=14
What are the solutions to the quadratic equation 4(x + 2)2 = 36
x= -11 and x = 7
x = -7 and x = 11
OOOO
x= -5 and x = 1
x= -1 and x = 5
Answer:
x = -5 and x = 1
Step-by-step explanation:
4( x2 + 4x + 4 ) = 36
4x2 + 16x + 16 = 36
4x2 + 16x - 20 = 0
x2 + 4x - 5 = 0
Answer:
C. x = -5, and x = 1
Step-by-step explanation:
You have the equation 4(x + 2)2 = 36
You then isolate 4 out of the equation using division on both sides
You are left with (x+2)2 = 9
Next, take square roots
[tex]\sqrt({x} +2) ^{2}[/tex] = [tex]\sqrt{9}[/tex]
This leaves you with x + 2 ± 9
So, x = -2 + 3 = 1
or
x = -2 - 3 = -5
please help very urgent!!
how do you find the growth rate (like the percentage of growth each week) for an exponential function when you only have the starting value, the amount of weeks and the ending value???? (for example, a plant starts at (0,2) when it is planted, after 18 weeks it is 20 inches) how do you find out the percent of growth each week to plug it into an equation???
9514 1404 393
Answer:
the n-th root of the ratio of ending to starting values, less 1
Step-by-step explanation:
When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.
__
The exponential equation can be written ...
f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))
In your example case, this would be ...
f(t) = 2 × (20/2)^(t/18)
f(t) = 2(10^(t/18)) . . . . . . simplified
__
To convert this to the form ...
f(t) = 2(1 +(growth rate))^t
recognize that ...
(1 +(growth rate)^t = (10^(1/18))^t
So, you need to find the value of ...
10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%
Then the growth rate is about 13.6% each week.
__
Sometimes, you want to use this in the form ...
f(t) = (initial value)×(1 + (growth rate))^t
and sometimes you want the form ...
f(t) = (initial value)×e^(kt)
When you solve for k, you find it is ...
k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x
Here, that is ...
k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792
__
Your final growth equation could be any of ...
f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved
f(t) = 2(1.13646^t)
f(t) = 2e^(0.12792t)
Which of the following graphs represents the slope of -1 - 3
Answer:
theres nothing there though
Step-by-step explanation:
HELPPPP PLZ !..
Find the distance from C to G.
Answer:
3/64
Step-by-step explanation:
The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.
Given :
AG = 4x + 16
BG = 10x - 8
The following steps can be used in order to determine the distance from C to G:
Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.
Step 2 - Now, if G is the circumcenter then:
AG = BG = CG
Step 3 - Now, substitute the value of AG and BG in the above expression.
4x + 16 = 10x - 8
24 = 6x
x = 4
Step 4 - Now, use the relation BG = CG in order to determine the value of CG.
10(4) - 8 = CG
CG = 32
For more information, refer to the link given below:
https://brainly.com/question/22051318
Please help for the whole section i really need this answer am failing my math class
Answer:
4/2 for number one
Step-by-step explanation:
so what u are doing is taking the two dots and matching them itz_joy2006 hit me up on insta or snap jgichane3
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3 years.
What is the smallest amount, to the nearest pound, she can invest?
Let ,Cynthia invested $x
Rate = 5%per year
time = 3 year
Amount
A= P(1+r/100)^t
8000=x(1+5/100)^3
8000=x(21/20)^3
x= (8000x8000)/9261
x=6910.7$
Therefore she can invest =$6910.7 =5322.14 pound
2 3/6 + 9 1/3 reduced to the lowest terms
Answer:
nah, thank u for the points tho
Step-by-step explanation:
What is the measurement of <8
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
there are 15 fruits in a bow 6 of them are apples. What percentage of the pieces of in the bowl are apples?
Answer: 40%
Step-by-step explanation: 6/15= 0.40
PLEASE HELP ME ILL GIVE BRAINLIEST I REALLY NEED HELP PLEASEE
Answer:
B) y<3/2x+2
Step-by-step explanation:
cause y is less than the slope of 3/2 threw the point of 2 on the y axis
also < and > meansd its a dotted line
Triangle ABC, shown in the diagram below, is an isosceles triangle.
Answer:
42.5
Step-by-step explanation:
those two dashes or lines on the sides of the tringle or between A and B or A and C mean that those line are the same length so I would guess your answer is the same as the other givin length which is 42.5
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!
Answer:
100!!
Step-by-step explanation:
Hope this helps
Answer:
100
Step-by-step explanation:
5 x 12 = 60 +10 + 10 +10 +10
60 +40= 100
A new bank customer with $3,500 wants to open a money market account. The bank is offering a simple interest of 1.6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
A is $490 and B is 3990
Step-by-step explanation:
The way I solved this is with my last brain cells, you welcome.
A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
Answer:
A triangle has sides of lengths 9,7, and 12 is not a right triangle .
What is part A and B??
Please help it'd mean so much!
Answer:
B.
Step-by-step explanation:
Which is the correct graph for: y= - 4x+3
Answer:
C is the answer
Step-by-step explanation:
slope = -4 and y intercept =3
f ( x ) = 5 ( 2 − x ) , what is the value of f ( − 8 )
Answer:
50
Step-by-step explanation:
solved
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
Answer:
(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)
2-5/6-(-3)
-3/9
-1/3 is the slope
y - y1 = m(x -x1) (this is point slope form)
y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)
y -5 = -1/3x -1 (you get to slope intercept form by solving from point slope)
y = -1/3x +4 (this is slope intercept form)
Step-by-step explanation:
what is 3 times blank times blank equals 12
Answer:
3 times 2 times 2
3 times 4 times 1
Step-by-step explanation:
those are the ones off the top of my head hope that helps
What would y be? please show me how do to it also so I can understand.
Answer:
the answer will be 3+2+2=7 is the answer
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
PLEASE HELP!
Estimate 132% of 42
Answer:
55.44 i believe
Step-by-step explanation:
What is the intercept of the function f(x) = x^3
Answer:
x-intercept(s): ( 0 , 0 )
y-intercept(s): ( 0 , 0 )
Explanation:
To find the x-intercept, substitute in 0 for y and solve for x .
To find the y-intercept, substitute in 0 for x and solve for y .
Solve for m.
3m+7/2=−2m+5/2
I will give brainleist
If
A. Acute
B. Obtuse
C. Right
D. Straight
Answer:
This question does not make sense. Is their an image that needs to be included?
Step-by-step explanation:
Answer:
Angle EAT is acute
Step-by-step explanation:
The nutrition label on Erin's box of
animal crackers states that 16 crackers
contain 24 grams of carbohydrates.
Erin ate 12 animal crackers from the
box. What is the number of grams of
carbohydrates in 12 animal crackers?
18 grams because 24 subtract 16 is equal to 6 and if you add 6 to 12 you get 18